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Simplifying 6x2 + -11x = 6x Reorder the terms: -11x + 6x2 = 6x Solving -11x + 6x2 = 6x Solving for variable 'x'. Reorder the terms: -11x + -6x + 6x2 = 6x + -6x Combine like terms: -11x + -6x = -17x -17x + 6x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -17x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 6x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-17 + 6x)' equal to zero and attempt to solve: Simplifying -17 + 6x = 0 Solving -17 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 0 + 17 6x = 0 + 17 Combine like terms: 0 + 17 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333Solution
x = {0, 2.833333333}
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